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Minchanka [31]
2 years ago
13

The square shown has a perimeter of 32 units. The square is rotated about line k.

Mathematics
2 answers:
Charra [1.4K]2 years ago
5 0

A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

Read more on Brainly.com - brainly.com/question/15172682#readmore

Bad White [126]2 years ago
4 0

A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

(4) sidelength = 32, sidelength = \frac{32}{4} = 8.

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder = 2\pi r = (2) (3.1415)(8) = 50.264.

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

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A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, whic
Shkiper50 [21]

Answer:

i know im vv late but i dont want anyone to get it wrong. anyway if your on e2020 i believe the correct answer is

D. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations mc019-r+t=20 and 5r+5t=150

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
klasskru [66]

Answer:

PS = 7x- 7

Step-by-step explanation:

Given

Straight Line, PS

Such that

PR = 4x -2

RS = 3x - 5

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

PS = PR + RS

Substitute PR = 4x -2 and RS = 3x - 5

PS = 4x - 2 + 3x - 5

Collect like terms

PS = 4x + 3x- 2  - 5

PS = 7x- 7

Hence, the length of PS is PS = 7x- 7

8 0
2 years ago
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa
laila [671]

To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

(50)(36)=1800in

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

\frac{(1800in)(3in)}{34in}=158.82in

3. If you can to express it in yards:

\frac{158.82}{36} =4.41 yd

Therefore, the answer is: 158.82 inches or 4.41 yards.

8 0
2 years ago
Read 2 more answers
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
d1i1m1o1n [39]

Answer:

The following points are not arranged in a parallelogram or rectangle order.

Step-by-step explanation:

Well first we need to graph the following.

A(1,1) B(2,2) C(3,3) D(4,4)

By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.

It is a line with a slope of 1 or x.

8 0
1 year ago
When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected
jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

N=\frac{12.36}{0.03+0.55^t}

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

N=\frac{12.36}{0.33+0.55^0}

N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12

A. Initially, there were 12 deer.

B. N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0
1 year ago
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